Answer:
ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )
Step-by-step explanation:
as per question
1- (2x-7)²
= (1 + 2x - 7)(1- 2x + 7)
= ( 2x - 6)(-2x +8)
= -4(x-3)(x+4)
The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
What is the polynomial?
Polynomials are algebraic expressions that consist of variables and coefficients.
What is the identity for [tex](a-b)^{2}[/tex]?[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]
According to the given question
We have a polynomial [tex](2x -7)^{2}[/tex].
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by
[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]
⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
Now,
[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]
⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]
Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
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Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.
Answer:
a) 21/50 -> 42%
b) 7/10 ->70%
c) 3/5 -> 60%
d) 59/100 -> 59%
Step-by-step explanation:
Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left
in her account?
Answer:
$527
Step-by-step explanation:
Find how much she has left by subtracting 287 from 814:
814 - 287
= 527
So, she has $527 left in her account
After a 20% discount the phone cost is $70.40. What was the original price?
Answer:
$84.48
Step-by-step explanation:
Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48
Hope this helps!
:)
Please help I need help
Answer:
2 1/3
Step-by-step explanation:
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Answer:
y = 2x -11
Step-by-step explanation:
The equation of a line that passes through point x1, y1 is given as
y - y1 = m (x - x1)
where m is the slope of the line
Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line
y - 5 = 2 (x - 8)
y - 5 = 2x - 16
add 5 to both sides
y = 2x - 16 + 5
y = 2x -11
the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex
Answer:
(3,-5)
Step-by-step explanation:
We first cal ulate the distance
The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.
Encik Basra’s age is four times his child’s age. 4 years ago, Encik Basri’s age is six times his child age. Find the age of Encik Basri’s child now.
Answer:
4 + 6 = 10 * 4 =40
Step-by-step explanation:
sana makatulong
His child is 10 years old.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given
Assume now his child's age is x
4x-4 = 6(x-4)
4x-4 = 6x - 24
-4+24 = 6x-4x
20 = 2x
x=10
His child is 10 years old.
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Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
Answer:
the answer to this is 2048
Step-by-step explanation:
Answer: B
Step-by-step explanation: Just round
Solve the inequality for x
3^(6x+18)<27^(3x)
Answer:
[tex]\displaystyle x > 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringAlgebra II
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Solving exponential equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]
Step 2: Solve for x
Rewrite: [tex]\displaystyle 3^{6x + 18} < 3^{3(3x)}[/tex]Set: [tex]\displaystyle 6x + 18 < 3(3x)[/tex]Factor: [tex]\displaystyle 3(2x + 6) < 3(3x)[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle 2x + 6 < 3x[/tex][Subtraction Property of Equality] Subtract 3x on both sides: [tex]\displaystyle -x + 6 < 0[/tex][Subtraction Property of Equality] Subtract 6 on both sides: [tex]\displaystyle -x < -6[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle x > 6[/tex]Answer:
[tex]x>6[/tex]
Step-by-step explanation:
When given the following equation;
[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]
One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;
[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]
Simplify,
[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]
Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,
[tex]6x+18<9x[/tex]
Now solve this inequality like a normal inequality. Use inverse operations;
[tex]6x+18<9x[/tex]
[tex]18<3x[/tex]
[tex]6<x[/tex]
La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?
Answer: $4.88
Explanation: $20.00-$5.36= $14.64
$14.64÷3= $4.88
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
the answer of course is bobbies
Answer
the answer if b in the above
HELP PLEASE I HAVE 15 MINS LEFT
In AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine and
state the value of x.
Answer:
x = 7
Step-by-step explanation:
A median bisects the opposite side length, therefore
14x = 6x+56
8x = 56,
x = 7
Answer:
x = 7
Step-by-step explanation:
given:
AM is the median
BM = 14x
MC = 6x + 5x
since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,
14x = 6x + 54
14x - 6x = 54
8x = 54
x = 54/8
x = 7
The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
[tex]C=28.3m[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=9m[/tex]
Radius[tex]r=4.5m[/tex]
Generally the equation for Circumference of a circle is mathematically given by
[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]
[tex]C=28.3m[/tex]
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter
Radius
Generally the equation for Circumference of a circle is mathematically given by
Have a good day
Step-by-step explanation:
Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6
Answer:
D. y = 1/4x + 6
Step-by-step explanation:
In the linear equation y = mx + b, m is the slope.
A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.
So, to find which equation has the least steep graph, find which one has the smallest slope.
Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.
So, the equation with the least steep graph is D. y = 1/4x + 6
Answer:D
Y= 1/4x +6
Step-by-step explanation:
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answer:
$36,575 is the new tuition
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
How much carpet would be needed to cover the area in the figure?
Answer:
28 square yards
Step-by-step explanation:
what is the smallest number that can be subtracted from 376234 to make it divisible by 11
Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.
express your answer as a polynomial in a standard form.
Please help I’ll give brainliest
Answer:
285.214 cubic meters
Step-by-step explanation:
So I use this equation V=πr2h
All because this equation have a radius and so I put it in this form
V= π5.5^2 x 3
V=285
(I hope this help and if it’s wrong I am truly sorry)
The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
For a cylinder,
Height = 3m
Radius = 5.5m
Volume = ?
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.
Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
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х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
Help me with this one plz
Answer:
-1 is the only number there that is an integer as all the rest of them are mixed fractions.
Answer:
- 1
Step-by-step explanation:
Determina la masa molar y el volumen que ocupa la siguiente sustancia CO2, si su masa es de 28 gr. *
Answer:
Para el CO₂ sabemos que:
densidad = 0,001976 g/cm³
Sabemos que:
densidad = masa/volumen
Entonces, si tenemos una masa de 28 g, podemos escribir:
volumen = masa/densidad
volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3
Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.
Carbono: tiene una masa molar de 12 g/mol
Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)
entonces la masa molar va a ser:
masa molar = 12g/mol + 2*16g/mol = 44 g/mol
Es decir, un mol de CO₂, pesa 44 gramos.
What percent is represented by the shaded area?
help help help due today
Answer:
sin 52°= AB/x
sin 52°=AB/7.7
AB= 6.06 m
find the value of x and y, (3x - 2y, 7) = (11, x + y)
Answer:
Step-by-step explanation:
Given,(3x-2y,7)=(11,x+y)
So,3x-2y=11...............(i)
7=x+y
or,x+y=7................(ii)
Now,Multiplying eqn.(ii) by 2,we get,
2x+2y=14...........(iii)
Adding eqn(i) and eqn(iii),
3x-2y+2x+2y=11+14
or,5x=25
or,x=5
Substituting value of x in eqn(i),
5+y=7
or,y=2
Hence,the values of x and y are 5 and 2 respectively.
plsssss help meeee ....i need the answerrrr
Answer:
20
Step-by-step explanation:
[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]
[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]
[tex] = \dfrac{20}{1} [/tex]
[tex] = 20[/tex]
Question 1 Multiple Choice Worth 1 points)
(01.05 LC)
Solve for x: -7 < X -1 <8
Answer:
-6 < x <9
Step-by-step explanation:
-7 < X -1 <8
Add 1 to all sides
-7+1 < X -1+1 <8+1
-6 < x <9
Answer:
D
Step-by-step explanation:
